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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sat, 5 Oct 2024 21:02:45 +0200
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Am 05.10.2024 um 19:18 schrieb Moebius:
> Am 05.10.2024 um 16:58 schrieb Moebius:
>> Am 05.10.2024 um 15:57 schrieb Alan Mackenzie:
>>
>>> I first came across the terms "potential infinity" and "actual infinity"
>>> on this newsgroup, not in my degree course a few decades ago.  I'm not
>>> convinced there is any mathematically valid distinction between them.
>>
>> Actually, there is.
> 
> "Nearly all research-level mathematicians today (I would guess 99.99% of 
> them) take for granted both "potential" and "completed"  [aka "actual"] 
> infinity, and most probably do not even know the distinction indicated 
> by those two terms."
> 
> Source: https://math.vanderbilt.edu/schectex/courses/thereals/potential.html

Also quite interesting:

https://math.vanderbilt.edu/schectex/papers/difficult.html